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6990241520 = 2451073132609
BaseRepresentation
bin1101000001010011…
…01001111011110000
3200001011101001200002
412200221221323300
5103304000212040
63113345045132
7335140033613
oct64051517360
920034331602
106990241520
112a67899a09
1214310267a8
1387529a2b2
144a453a17a
152ada3ca15
hex1a0a69ef0

6990241520 has 80 divisors (see below), whose sum is σ = 16462919520. Its totient is φ = 2760056832.

The previous prime is 6990241513. The next prime is 6990241523. The reversal of 6990241520 is 251420996.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990241523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677976 + ... + 2680584.

It is an arithmetic number, because the mean of its divisors is an integer number (205786494).

Almost surely, 26990241520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231459760).

6990241520 is an abundant number, since it is smaller than the sum of its proper divisors (9472678000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6990241520 is a wasteful number, since it uses less digits than its factorization.

6990241520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 6990241520 is about 83607.6642419820. The cubic root of 6990241520 is about 1912.0418503004.

The spelling of 6990241520 in words is "six billion, nine hundred ninety million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 313 428 535 626 856 1070 1252 1565 1712 2140 2504 2609 3130 4280 5008 5218 6260 8560 10436 12520 13045 20872 25040 26090 33491 41744 52180 66982 104360 133964 167455 208720 267928 279163 334910 535856 558326 669820 816617 1116652 1339640 1395815 1633234 2233304 2679280 2791630 3266468 4083085 4466608 5583260 6532936 8166170 11166520 13065872 16332340 22333040 32664680 65329360 87378019 174756038 349512076 436890095 699024152 873780190 1398048304 1747560380 3495120760 6990241520